No Access Submitted: 13 October 2012 Accepted: 28 January 2013 Published Online: 14 February 2013
Chaos 23, 013118 (2013); https://doi.org/10.1063/1.4791589
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We study generalized variable projective synchronization between two unified time delayed systems with constant and modulated time delays. A novel Krasovskii-Lyapunov functional is constructed and a generalized sufficient condition for synchronization is derived analytically using the Lyapunov stability theory and adaptive techniques. The proposed scheme is valid for a system of n-numbers of first order delay differential equations. Finally, a new neural oscillator is considered as a numerical example to show the effectiveness of the proposed scheme.
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